U-tiling: UQC5538
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc2207 |
*222222 |
(5,7,2) |
{3,4,4,4,4} |
{6.7.6}{6.6.7.7}{7.7.7.7}{7.7.7.... |
s-nets
3 records listed.
Surface |
Edge collapse |
Image |
s-net name |
Other names |
Space group |
Space group number |
Symmetry class |
Vertex degree(s) |
Vertices per primitive unit cell |
Transitivity (Vertex, Edge) |
P
|
False
|
|
sqc5761
|
|
Cmma |
67 |
orthorhombic |
{3,4,4,4,4} |
14 |
(5,7) |
G
|
False
|
|
sqc5903
|
|
C2/c |
15 |
monoclinic |
{3,4,4,4,4} |
14 |
(5,8) |
D
|
False
|
|
sqc5905
|
|
Imma |
74 |
orthorhombic |
{3,4,4,4,4} |
14 |
(5,7) |
Topological data
Vertex degrees | {3,4,4,4,4} |
2D vertex symbol | {6.7.6}{6.6.7.7}{7.7.7.7}{7.7.7.7}{6.6.6.6} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<126.1:104:14 3 5 7 9 36 12 26 16 18 20 22 49 25 40 29 31 33 35 38 52 42 44 46 48 51 79 55 57 59 61 101 64 91 92 68 70 72 74 88 77 104 81 83 85 87 90 94 96 98 100 103,2 11 30 6 8 10 13 15 24 43 19 21 23 26 28 37 32 34 36 39 41 50 45 47 49 52 54 63 95 58 60 62 65 67 76 82 71 73 75 78 80 89 84 86 88 91 93 102 97 99 101 104,27 4 5 58 59 73 74 62 63 64 39 40 17 18 84 85 99 100 88 89 90 52 30 31 97 98 86 87 101 102 103 43 44 71 72 60 61 75 76 77 92 56 57 104 79 69 70 91 82 83 95 96:6 7 7 6 6 7 6 7,3 4 4 4 4 3 4 4 4 4 4 4 3 3> {(2, 60): 't3', (2, 61): 't3*tau2', (0, 61): 't3*tau2*t1^-1*tau3^-1*t2', (2, 52): 't3*tau2*t1^-1*tau3^-1*t2', (0, 48): 't1', (2, 48): 'tau2*t3', (0, 52): 'tau1', (2, 46): 't3^-1', (0, 35): 't1', (2, 39): 't1', (2, 33): 't2^-1', (2, 34): 't2^-1', (2, 35): 'tau3^-1*t2', (2, 26): 't1', (1, 94): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 20): 't2', (2, 21): 't2', (2, 22): 'tau3*t2^-1', (2, 8): 't3', (1, 68): 't3^-1*tau2^-1*t1*tau3*t2^-1', (1, 42): 't1', (0, 90): 'tau1^-1', (0, 91): 'tau1', (0, 87): 't2*tau3^-1*t1^-1*tau2*t3', (2, 78): 't2*tau3^-1*t1^-1*tau2*t3', (2, 72): 't3^-1', (0, 77): 'tau1^-1', (1, 3): 't1^-1'}